GCF of 9124/728, 9880/8216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9124/728, 9880/8216 i.e 4/57512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9124/728, 9880/8216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9124/728,9880/8216?
Given fractions are 9124/728,9880/8216
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9124/728,9880/8216, numerators are 9124,9880
Denominators are 728,8216
The GCF of 9124,9880 is 4 .
LCM of 728,8216 is 57512.
The greatest common factor of 9124/728,9880/8216 = [GCF of 9124,9880]/[LCM of 728,8216]= 4/57512
Therefore, the GCF of 9124/728,9880/8216 is 4/57512.
To find the highest common factor of 9124,9880, we have to find the factors of both numbers and list the highest common factor.
The factors of 9124 are 1, 2, 4, 2281, 4562, 9124
The factors of 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The HCF of 9124,9880 is 4.
Lets's calculate GCF of 9124,9880
| 2 | 9124, 9880 |
| 2 | 4562, 4940 |
| 2281, 2470 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9124,9880 By Matching Biggest Common Factor Method
Now, list down the factors of 9124
:1,2,4,2281,4562,9124
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Greatest Common Factor
We found the factors 9124,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 9124,9880 is 4.
Lets's calculate LCM of 728,8216
| 2 | 728, 8216 |
| 2 | 364, 4108 |
| 2 | 182, 2054 |
| 13 | 91, 1027 |
| 7, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 79 = 57512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/57512
Therefore, the GCF of Fractions 9124/728,9880/8216 is 4/57512
Least Common Multiple of 728,8216 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 728,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,8216) = 104
common factors(in case of two or more numbers have common factors) = 1
GCF(728,8216) x common factors =104 x 1 = 104
LCM(728,8216) = ( 728 × 8216 ) / 104
LCM(728,8216) = 5981248 / 104
LCM(728,8216) = 57512
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9124/728, 9880/8216
1. What is the HCF of 9124,9880?
The HCF of 9124,9880 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9124/728, 9880/8216?
Answer: GCF of Numerators as per given numbers 9124/728, 9880/8216 is
GCF of Numerators i.e. for 9124,9880 is 4
LCM of denominators i.e. for 728,8216 is 57512.
Thus, GCF of Fractions is 4/57512.Finally, GCF of Fractions for 9124/728, 9880/8216 is 4/57512.